230153200 has 60 divisors (see below), whose sum is σ = 565844488. Its totient is φ = 89913600.

The previous prime is 230153197. The next prime is 230153201. The reversal of 230153200 is 2351032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230153201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10510 + ... + 23890.

Almost surely, 2^230153200 is an apocalyptic number.

230153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282922244).

230153200 is an abundant number, since it is smaller than the sum of its proper divisors (335691288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230153200 is a wasteful number, since it uses less digits than its factorization.

230153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 230153200 is about 15170.8009017322. The cubic root of 230153200 is about 612.8285728394.

The spelling of 230153200 in words is "two hundred thirty million, one hundred fifty-three thousand, two hundred".